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Finding the Fourth Proportional to 330.23, 456.91 and 283.52

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Solution

The fourth proportional to 330.23, 456.91 and 283.52 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.23 : 456.91 = 283.52 : x
  2. Step 2: Convert to fraction form
    330.23/456.91 = 283.52/x
  3. Step 3: Cross multiply
    330.23x = 456.91 × 283.52
  4. Step 4: Simplify right side
    330.23x = 129,543.56
  5. Step 5: Solve for x
    x = 129,543.56/330.23
  6. Step 6: Final answer
    x = 392.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.